Add to ORKGAbstract. This paper considers the viscous approximations to conservation laws with nonconvex flux function. It is shown that if the entropy solutions are piecewise smooth, then the rate of L1-convergence is a fractional number in (0.5, 1]. This is in contrast to the corresponding result for the convex conservation laws. Numerical experiments indicate that the theoretical prediction for the convergence rate is optimal
It is proved that for nonhomogeneous scalar conservation laws, if the flux function is strictly conv...
We study the structure and smoothness of non-homogeneous convex conservation laws. The question rega...
Abstract. Using an integral formula of Droniou and Imbert (2005) for the fractional Laplacian, we de...
This paper considers the viscous approximations to conservation laws with nonconvex flux function. I...
[[abstract]]We study the rate of convergence of the viscous and numerical approximate solution to th...
International audienceWe are concerned with a control problem related to the vanishing \emph{fractio...
We introduce and analyze a spectral vanishing viscosity approximation of periodic fractional conserv...
We derive optimal error bounds for the viscosity method and monotone difference schemes to an initia...
It is proved that for scalar conservation laws, if the flux function is strictly convex, and if the ...
. We study the structure and smoothness of non-homogeneous convex conservation laws. We address the ...
We deal with the numerical investigation of the local limit of nonlocal conservation laws. Previous ...
International audienceWe characterize the vanishing viscosity limit for multi-dimensional conservati...
Abstract. We characterize the vanishing viscosity limit for multi-dimensional conservation laws of t...
AbstractWe study the structure and smoothness of non-homogeneous convex conservation laws. The quest...
We consider the initial value problem for degenerate viscous and inviscid scalar conservation laws ...
It is proved that for nonhomogeneous scalar conservation laws, if the flux function is strictly conv...
We study the structure and smoothness of non-homogeneous convex conservation laws. The question rega...
Abstract. Using an integral formula of Droniou and Imbert (2005) for the fractional Laplacian, we de...
This paper considers the viscous approximations to conservation laws with nonconvex flux function. I...
[[abstract]]We study the rate of convergence of the viscous and numerical approximate solution to th...
International audienceWe are concerned with a control problem related to the vanishing \emph{fractio...
We introduce and analyze a spectral vanishing viscosity approximation of periodic fractional conserv...
We derive optimal error bounds for the viscosity method and monotone difference schemes to an initia...
It is proved that for scalar conservation laws, if the flux function is strictly convex, and if the ...
. We study the structure and smoothness of non-homogeneous convex conservation laws. We address the ...
We deal with the numerical investigation of the local limit of nonlocal conservation laws. Previous ...
International audienceWe characterize the vanishing viscosity limit for multi-dimensional conservati...
Abstract. We characterize the vanishing viscosity limit for multi-dimensional conservation laws of t...
AbstractWe study the structure and smoothness of non-homogeneous convex conservation laws. The quest...
We consider the initial value problem for degenerate viscous and inviscid scalar conservation laws ...
It is proved that for nonhomogeneous scalar conservation laws, if the flux function is strictly conv...
We study the structure and smoothness of non-homogeneous convex conservation laws. The question rega...
Abstract. Using an integral formula of Droniou and Imbert (2005) for the fractional Laplacian, we de...